Atkin-Lehner |
2+ 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
92736t |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-5210304921206784 = -1 · 225 · 39 · 73 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- -2 5 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,21492,3254256] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:1792:1] |
Generators of the group modulo torsion |
j |
212776173/1009792 |
j-invariant |
L |
6.541386181092 |
L(r)(E,1)/r! |
Ω |
0.30889660538398 |
Real period |
R |
0.88235918729207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999949227 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92736cu1 2898c1 92736m1 |
Quadratic twists by: -4 8 -3 |